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Finding the Fourth Proportional to 5,152.41, 7,725.17 and 2,030.47

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Solution

The fourth proportional to 5,152.41, 7,725.17 and 2,030.47 is: 3,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.41 : 7,725.17 = 2,030.47 : x
  2. Step 2: Convert to fraction form
    5,152.41/7,725.17 = 2,030.47/x
  3. Step 3: Cross multiply
    5,152.41x = 7,725.17 × 2,030.47
  4. Step 4: Simplify right side
    5,152.41x = 15,685,711.69
  5. Step 5: Solve for x
    x = 15,685,711.69/5,152.41
  6. Step 6: Final answer
    x = 3,044.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.